Nokea
Ratio and Proportion: 4:10 :: 5:X
- A. X = 10.5
- B. X = 20
- C. X = 12.5
- D. X = 25
Correct Answer: C
Rationale: To solve for X in the given ratio and proportion, set up the proportion: (4/10) = (5/X). Cross-multiply to get 4X = 50, leading to X = 12.5. So, the correct answer is X = 12.5, making choice C the correct option.
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How many meters are in 3 kilometers? (Enter a numeric value only.)
- A. 300
- B. 3000
- C. 30
- D. 3
Correct Answer: B
Rationale: To convert kilometers to meters, remember that 1 kilometer is equivalent to 1,000 meters. Therefore, to determine how many meters are in 3 kilometers, you multiply 3 (kilometers) by 1,000 (meters), resulting in 3,000 meters. The correct answer is 3,000 meters, which corresponds to option B.
Subtract: 12 1/8 - 9 1/2 =
- A. 2 5/8
- B. 2 1/8
- C. 3 3/8
- D. 3 5/8
Correct Answer: A
Rationale: To solve this problem, first convert the mixed numbers to improper fractions. 12 1/8 can be written as 97/8, and 9 1/2 can be written as 19/2. Ensure a common denominator (8) by rewriting 19/2 as 76/8. Now, subtract the fractions: 97/8 - 76/8 = 21/8 = 2 5/8. Therefore, the correct answer is 2 5/8.
Which of the following fractions is the largest?
- A. 3/8
- B. 3/7
- C. 3/9
- D. 3/6
Correct Answer: D
Rationale: To compare fractions, it is essential to look at the denominator. The larger the denominator, the smaller the fraction. In this case, all fractions are multiples of 1/3. By simplifying the fractions, we see that 3/6 is the largest. It simplifies to 1/2, which is greater than 3/7, 3/8, and 3/9. A fraction closer to 1 is larger, hence 3/6 (or 1/2) is the largest fraction among the options provided.
Solve for x: x/250 = 3/500
- A. 1.5
- B. 25.5
- C. 1500
- D. 2.5
Correct Answer: A
Rationale: To solve for x in the equation x/250 = 3/500, cross multiply to get x = (250 * 3) / 500. First, calculate the numerator, which is 750. Then, divide 750 by 500 to find x. Therefore, x = 1.5. Thus, the correct answer is A: 1.5.
How many ounces are in 3 5/8 quarts?
- A. 32
- B. 116
- C. 96
- D. 928/8
Correct Answer: B
Rationale: To convert quarts to ounces, we use the conversion factor that 1 quart is equal to 32 ounces. To find how many ounces are in 3 5/8 quarts, first, we calculate the ounces in 3 quarts by multiplying 3 quarts by 32 ounces/quart, which equals 96 ounces. Then, we find the equivalent of 5/8 quart, which is 5/8 * 32 = 20 ounces. Adding the ounces from 3 quarts and 5/8 quart together, we get a total of 116 ounces. Therefore, the correct answer is 116 ounces.